CUET-UG SERIES Mathematics
Derivatives
21 previous year questions.
Volume: 21 Ques
Yield: High
High-Yield Trend
3
2024 18
2023 Chapter Questions 21 MCQs
01
PYQ 2023
medium
mathematics ID: cuet-ug-
Match List I with List II
Choose the correct answer from the options given below :
| List I (Functions) | List II (Derivatives) | ||
| A. | f(x)=sin-1x | I. | , x ∈ R |
| B. | f(x)=tan-1x | II. | , x ∈ (-1, 1) |
| C. | f(x)=cos-1x | III. | , x ∈ (-1, 1) |
| D. | f(x)=sin-1x | IV. | , x ∈ R |
1
A-III, B-I, C-II, D-IV
2
A-I, B-IV, C-III, D-II
3
A-II, B-I, C-III, D-IV
4
A-I, B-II, C-III, D-IV
02
PYQ 2023
medium
mathematics ID: cuet-ug-
The condition on a and b, such that for , at x=1 is:
1
b=2a
2
b=-2b
3
a=2b
4
b=-2a
03
PYQ 2023
medium
mathematics ID: cuet-ug-
If cosy = xcos(a + y), then =
1
2
3
4
04
PYQ 2023
medium
mathematics ID: cuet-ug-
If , then is equal to:
1
2
3
4
05
PYQ 2023
medium
mathematics ID: cuet-ug-
If (a is a constant) then is equal to :
1
2
3
4
06
PYQ 2023
medium
mathematics ID: cuet-ug-
Match List I with List II
| LIST I | LIST II | ||
| A. | I. | ||
| B. | II. | ||
| C. | III. | ||
| D. | IV. |
Choose the correct answer from the options given below:
1
A-II, B-III, C-I, D-IV
2
A-IV, B-II, C-I, D-III
3
A-III, B-I, C-IV, D-II
4
A-I, B-IV, C-III, D-II
07
PYQ 2023
medium
mathematics ID: cuet-ug-
If y = , then is :
1
(log 10)
2
(log 10)2
3
10x (log 10)2
4
10x (log 10)
08
PYQ 2023
medium
mathematics ID: cuet-ug-
The derivative ,if is :
1
2
3
4
09
PYQ 2023
medium
mathematics ID: cuet-ug-
If , then is,
1
2
3
4
10
PYQ 2023
medium
mathematics ID: cuet-ug-
If , then is:
1
3at
2
12at3
3
6at
4
2t2
11
PYQ 2023
medium
mathematics ID: cuet-ug-
If y = Asinx + Bcosx, Where A and B are constants, then is equal to :
1
y
2
-y
3
x
4
-x
12
PYQ 2023
medium
mathematics ID: cuet-ug-
If xy = e(x-y), then the value of at (1, 1) is :
1
2
0
3
4
1
13
PYQ 2023
medium
mathematics ID: cuet-ug-
The derivative of with respect to at (where ) is:
1
2
1
3
4
14
PYQ 2023
hard
mathematics ID: cuet-ug-
Derivative of with respect to is:
1
2
3
4
15
PYQ 2023
medium
mathematics ID: cuet-ug-
If , then is:
1
2
3
4
16
PYQ 2023
medium
mathematics ID: cuet-ug-
If then is :
1
2
3
4
17
PYQ 2023
medium
mathematics ID: cuet-ug-
If y = x + tan x, then value of at is:
1
1
2
2
3
4
4
18
PYQ 2023
medium
mathematics ID: cuet-ug-
Differential coefficient of see ( ) with respect to x is:
1
2
3
4
19
PYQ 2024
medium
mathematics ID: cuet-ug-
Match List-I with List-II:
| List-I | List-II |
|---|---|
| The derivative of with respect to at is | (I) -5 |
| If , then at is | (II) -6 |
| If , then is | (III) 5 |
| If and , then at is | (IV) 0 |
Choose the correct answer from the options given below :
1
(A)-(I), (B)-(III), (C)-(II), (D)-(IV)
2
(A)-(I), (B)-(III), (C)-(IV), (D)-(II)
3
(A)-(III), (B)-(IV), (C)-(I), (D)-(II)
4
(A)-(I), (B)-(II), (C)-(III), (D)-(IV)
20
PYQ 2024
medium
mathematics ID: cuet-ug-
Match List-I with List-II:
Choose the correct answer from the options given below.
| List-I (Function) | List-II (Derivative w.r.t. x) | |
|---|---|---|
| (A) | (I) | |
| (B) | (II) | |
| (C) | (III) | |
| (D) | (IV) 0 | |
Choose the correct answer from the options given below.
1
(A) - (I), (B) - (II), (C) - (III), (D) - (IV)
2
(A) - (III), (B) - (IV), (C) - (II), (D) - (I)
3
(A) - (I), (B) - (IV), (C) - (II), (D) - (III)
4
(A) - (III), (B) - (II), (C) - (IV), (D) - (I)
21
PYQ 2024
medium
mathematics ID: cuet-ug-
1
2
3
4